3D Misorientation of Cantilevers and Its Impact in Friction Force Microscopy

  • Guillaume Michal
  • Cheng Lu
  • A. Kiet Tieu
Conference paper


The use of AFM in nanotribology is limited by our capacity to fully estimate the cantilever’s properties. Especially, cantilever’s stiffness plays a major part in the estimation of the contact forces. In this paper, we look at the 3D misorientation of a perfect triangular cantilever in static. The analysis was carried using Finite Element Analysis to estimate the stiffness matrix at the tip end. Results show a small influence of the misorientation in bending. However misorientation along the torsion axis has a notable impact on the estimation of lateral forces and introduce a mechanical cross-talk that can influence machine’s measurement.


AFM FEM friction 


  1. [1]
    Sader J E, 1995, “Method for the calibration of atomic force microscope cantilevers”. Rev. Sei. Instrum. 66 3789–98.CrossRefGoogle Scholar
  2. [2]
    Sader J E and Green C P, 2004, “Normal and torsional spring constants of atomic force microscope cantilevers”, Rev. Sei. Instrum. 75 1988.CrossRefGoogle Scholar
  3. [3]
    Varenberg V, Etsion I and Halperin G, 2003, “An improved wedge calibration method for lateral force in atomic force microscopy”. Rev. Sei. Instrum. 74 3362–7.Google Scholar
  4. [4]
    Cannara R J, Eglin E and Carpick R W, 2006, “Lateral force calibration in atomic force microscopy: A new lateral force calibration method and general guidelines for optimization”. Rev. Sei. Instrum. 77 053701.Google Scholar
  5. [5]
    Piner R and Ruoff R S, 2002, “Cross talk between friction and height signals in atomic force microscopy” Rev. Sei. Instrum. 73 9 3392-4.Google Scholar
  6. [6]
    Muller M, Schimmel T et al, 2005, “Finite element analysis of V-shaped cantilevers for atomic force microscopy under normal and lateral force loads”, Surf. Interface Anal 38 1090-5.Google Scholar

Copyright information

© Tsinghua University Press, Beijing and Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Guillaume Michal
    • 1
  • Cheng Lu
    • 1
  • A. Kiet Tieu
    • 1
  1. 1.School of Mechanical, Mechatronical and MaterialsUniversity of WollongongAustralia

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